Answer:
The missing exponent is 0
Step-by-step explanation:
The give equation is [tex](4x^4y^{\boxed{}})^3=64x^{12}[/tex]
Let us evaluate the left hand side using the property: [tex](a^m)^n=a^{mn}[/tex]
[tex]4^3x^{4*3}y^{3\boxed{}}=64x^{12}y^0[/tex]
This gives us:
[tex]64x^{12}y^{3\boxed{}}=64x^{12}y^0[/tex]
We now have:
[tex]y^{3\boxed{}}=y^0[/tex]
we must have [tex]{3\boxed{}}=0\implies {\boxed{}}=0[/tex]
